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William Voxman
Researcher at University of Idaho
Publications - 30
Citations - 2469
William Voxman is an academic researcher from University of Idaho. The author has contributed to research in topics: Fuzzy classification & Fuzzy number. The author has an hindex of 14, co-authored 30 publications receiving 2305 citations.
Papers
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Journal ArticleDOI
Elementary fuzzy calculus
Roy H. Goetschel,William Voxman +1 more
TL;DR: This paper shall view fuzzy numbers in a topological vector space setting using the customary vector space operations together with the metric given in [4] to define differentiation and integration of fuzzy-valued functions in ways that parallel closely the corresponding definitions for real differentiation and Integration.
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On a canonical representation of fuzzy numbers
TL;DR: This paper proposes two parameters, value and ambiguity, for fuzzy number representation and uses them to obtain canonical representations and to deal with fuzzy numbers in decision-making problems.
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Topological properties of fuzzy numbers
Roy H. Goetschel,William Voxman +1 more
TL;DR: The notion of @q-crisp fuzzy numbers is introduced, and, in particular, it is shown that this class of fuzzyNumbers is homeomorphic to the Hilbert cube.
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Some remarks on distances between fuzzy numbers
TL;DR: A pseudo-metric on the set of fuzzy numbers arising from the idea of the value of a fuzzy number is described, and some of its topological properties are noted.
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Canonical representations of discrete fuzzy numbers
TL;DR: It is shown that any discrete fuzzy number can be represented by a triangular or a block discrete fuzziness number having the same value, ambiguity and fuzziness as the original number.